Chapter 8: Q48. (page 416)

Graph the function $y = \sqrt{x} - 1$ and then state the domain and range of the function.

Short Answer

Expert verified

The graph of the function $y = \sqrt{x} - 1$ is shown below whose domain is $[0, \infty)$ and range is $[- 1, \infty)$ .

Step by step solution

Step 1. Write down the given information.

The given function is $y = \sqrt{x} - 1$ .

Step 2. Sketch the graph of given function.

The graph of the function $y = \sqrt{x} - 1$ is shown below.

Step 3. Interpretation from the graph.

From the graph, it can be interpreted that the domain of the function $y = \sqrt{x} - 1$ is $x \geq 0$ and range is $y \geq - 1$ .

Mathematically, domain $D_{f} \in [0, \infty)$ and range $R_{f} \in [- 1, \infty)$ of the function $y = \sqrt{x} - 1$ .

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Graph the function $y = \sqrt{x} - 1$ and then state the domain and range of the function.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Sketch the graph of given function.

Step 3. Interpretation from the graph.

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Graph the function y=x-1 and then state the domain and range of the function.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Sketch the graph of given function.

Step 3. Interpretation from the graph.

One App. One Place for Learning.

Most popular questions from this chapter

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Graph the function $y = \sqrt{x} - 1$ and then state the domain and range of the function.